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126450432 = 283271773
BaseRepresentation
bin1111000100101…
…11101100000000
322210221100101100
413202113230000
5224332403212
620314134400
73063545103
oct742275400
9283840340
10126450432
1165418099
1236421400
1320274c54
1412b1873a
15b17bbdc
hex7897b00

126450432 has 108 divisors (see below), whose sum is σ = 370201104. Its totient is φ = 41502720.

The previous prime is 126450419. The next prime is 126450439. The reversal of 126450432 is 234054621.

126450432 is a `hidden beast` number, since 12 + 645 + 0 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126450396 and 126450405.

It is not an unprimeable number, because it can be changed into a prime (126450439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163198 + ... + 163970.

It is an arithmetic number, because the mean of its divisors is an integer number (3427788).

Almost surely, 2126450432 is an apocalyptic number.

126450432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185100552).

126450432 is an abundant number, since it is smaller than the sum of its proper divisors (243750672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126450432 is an equidigital number, since it uses as much as digits as its factorization.

126450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 126450432 is about 11245.0180969174. The cubic root of 126450432 is about 501.9264771717.

The spelling of 126450432 in words is "one hundred twenty-six million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 568 576 639 768 773 852 1136 1152 1278 1546 1704 2272 2304 2319 2556 3092 3408 4544 4638 5112 6184 6816 6957 9088 9276 10224 12368 13632 13914 18176 18552 20448 24736 27264 27828 37104 40896 49472 54528 54883 55656 74208 81792 98944 109766 111312 148416 163584 164649 197888 219532 222624 296832 329298 439064 445248 493947 593664 658596 878128 890496 987894 1317192 1756256 1780992 1975788 2634384 3512512 3951576 5268768 7025024 7903152 10537536 14050048 15806304 21075072 31612608 42150144 63225216 126450432